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Stells [14]
2 years ago
14

The ages of some lectures are 42,54,50,54,50,42,46,46,48 and 48.Calculate the:

Mathematics
1 answer:
gregori [183]2 years ago
7 0

Answer:

The mean age is 48

The standard deviation is 4

Step-by-step explanation:

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Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Whitepunk [10]

Given:

Point is T(-3,8).

To find:

The coordinates of T' after R(y-axis)\circ R(x-axis).

Solution:

We know that, R(y-axis)\circ R(x-axis) means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

(x,y)\to (x,-y)

T(-3,8)\to T_1(-3,-8)

If a figure reflected across y-axis, then

(x,y)\to (-x,y)

T_1(-3,-8)\to T'(-(-3),-8)

T_1(-3,-8)\to T'(3,-8)

Therefore, the required point is T'(3,-8).

4 0
3 years ago
Is square root 1-cos^2theta=-sintheta true? if so, in which quadrants does angle theta terminate?
oksano4ka [1.4K]

Yes it is true:

(1 - cos^2 x) = sin^2 x Sqr.(1 - cos^2 x) = sin x and (-sinx) True, since sin x negative. Also, x terminates in quadrant 3 and 4. Hope this is helpful

4 0
2 years ago
What is the slope of the line through (0,-1) and (2,3)?
aniked [119]
Slope = (y2-y1)/(x2-x1)
(3+1)/(2-0) = 4/2 = 2
The slope is 2
3 0
2 years ago
Explain the rules for multiplication and division to convert units. How do you know when to multiply and when to divide to conve
yanalaym [24]

Answer:

To convert larger units to smaller units, multiply. When the units are smaller, you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger, you need fewer of them to express the same measure.

Multiply to convert larger units to smaller units.

Divide to convert smaller units to larger units.

When the units are smaller, you need more of them to express the same measure.

When the units are larger, you need fewer of them to express the same measure.

9 0
3 years ago
Read 3 more answers
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
ipn [44]

Answer:

y = \frac{-x}{3} + 5

Step-by-step explanation:

Given A (x₁, y₁) = ( -6, 7) and B (x₂, y₂) = (-3, 6)

Slope of line passing through points ( -6, 7) and  (-3, 6) is:

m = \frac{y_{2} -y_{1}}{x_{2} -x_{1}} =\frac{6 - 7}{-3 + 6} =\frac{-1}{3}

Now, the equation of line in point-slope form:

(y - y₁) = m (x - x₁)

Substituting the value of m and  (x₁, y₁) = ( -6, 7) in above equation,

(y - 7) = \frac{-1}{3}(x - (-6))

(y - 7) = \frac{-1}{3}(x + 6)

3y - 21 = -x - 6

3y = -x - 6 + 21

3y = -x + 15

y = \frac{-x + 15}{3}

y = \frac{-x}{3} + 5

Option B is the correct answer.

6 0
3 years ago
Read 2 more answers
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